The management of a company finds that 27% of the administrative assistants hired are unsatisfactory. The personnel director is instructed to devise a test that will improve the situation. 100 employed administrative assistants are chosen at random and are given the newly constructed test. Out of these, 73% of the satisfactory administrative assistants pass the test and 37% of the unsatisfactory administrative assistants pass. Based on these results, if a person applies for a job, takes the test, and passes it, what is the probability that he or she is a satisfactory administrative assistant? If the applicant fails the test, what is the probability that he or she is a satisfactory administrative assistant?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. The management of a company finds that 27% of the administrative assistants hired are unsatisfactory. The personnel director is instructed to devise a test that will improve the situation. 100 employed administrative assistants are chosen at random and are given the newly constructed test. Out of these, 73% of the satisfactory administrative assistants pass the test and 37% of the unsatisfactory administrative assistants pass. Based on these results, if a person applies for a job, takes the test, and passes it, what is the probability that he or she is a satisfactory administrative assistant? If the applicant fails the test, what is the probability that he or she is a satisfactory administrative assistant?
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